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Finding the Fourth Proportional to 886,464,009.60, 1,329,696,014.40 and 813,904,598.40

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Solution

The fourth proportional to 886,464,009.60, 1,329,696,014.40 and 813,904,598.40 is: 1,220,856,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,464,009.60 : 1,329,696,014.40 = 813,904,598.40 : x
  2. Step 2: Convert to fraction form
    886,464,009.60/1,329,696,014.40 = 813,904,598.40/x
  3. Step 3: Cross multiply
    886,464,009.60x = 1,329,696,014.40 × 813,904,598.40
  4. Step 4: Simplify right side
    886,464,009.60x = 1,082,245,700,594,312,704
  5. Step 5: Solve for x
    x = 1,082,245,700,594,312,704/886,464,009.60
  6. Step 6: Final answer
    x = 1,220,856,897.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.