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Finding the Fourth Proportional to 772,953,698.40, 1,158,534,752.40 and 312,664,264.80

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Solution

The fourth proportional to 772,953,698.40, 1,158,534,752.40 and 312,664,264.80 is: 468,634,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,953,698.40 : 1,158,534,752.40 = 312,664,264.80 : x
  2. Step 2: Convert to fraction form
    772,953,698.40/1,158,534,752.40 = 312,664,264.80/x
  3. Step 3: Cross multiply
    772,953,698.40x = 1,158,534,752.40 × 312,664,264.80
  4. Step 4: Simplify right side
    772,953,698.40x = 362,232,416,604,396,096
  5. Step 5: Solve for x
    x = 362,232,416,604,396,096/772,953,698.40
  6. Step 6: Final answer
    x = 468,634,042.83

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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.