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Finding the Fourth Proportional to 314,995,871.80, 472,493,807.70 and 286,274,438.20

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Solution

The fourth proportional to 314,995,871.80, 472,493,807.70 and 286,274,438.20 is: 429,411,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,995,871.80 : 472,493,807.70 = 286,274,438.20 : x
  2. Step 2: Convert to fraction form
    314,995,871.80/472,493,807.70 = 286,274,438.20/x
  3. Step 3: Cross multiply
    314,995,871.80x = 472,493,807.70 × 286,274,438.20
  4. Step 4: Simplify right side
    314,995,871.80x = 135,262,899,352,296,320
  5. Step 5: Solve for x
    x = 135,262,899,352,296,320/314,995,871.80
  6. Step 6: Final answer
    x = 429,411,657.30

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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.