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Finding the Fourth Proportional to 314,928,681.80, 472,393,022.70 and 286,207,248.20

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Solution

The fourth proportional to 314,928,681.80, 472,393,022.70 and 286,207,248.20 is: 429,310,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,681.80 : 472,393,022.70 = 286,207,248.20 : x
  2. Step 2: Convert to fraction form
    314,928,681.80/472,393,022.70 = 286,207,248.20/x
  3. Step 3: Cross multiply
    314,928,681.80x = 472,393,022.70 × 286,207,248.20
  4. Step 4: Simplify right side
    314,928,681.80x = 135,202,307,095,847,120
  5. Step 5: Solve for x
    x = 135,202,307,095,847,120/314,928,681.80
  6. Step 6: Final answer
    x = 429,310,872.30

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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.