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Finding the Fourth Proportional to 8,298,468.80, 12,457,034.40 and 6,413,566.40

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Solution

The fourth proportional to 8,298,468.80, 12,457,034.40 and 6,413,566.40 is: 9,627,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298,468.80 : 12,457,034.40 = 6,413,566.40 : x
  2. Step 2: Convert to fraction form
    8,298,468.80/12,457,034.40 = 6,413,566.40/x
  3. Step 3: Cross multiply
    8,298,468.80x = 12,457,034.40 × 6,413,566.40
  4. Step 4: Simplify right side
    8,298,468.80x = 79,894,017,271,484.17
  5. Step 5: Solve for x
    x = 79,894,017,271,484.17/8,298,468.80
  6. Step 6: Final answer
    x = 9,627,561.32

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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.