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Finding the Fourth Proportional to 286,458,941.80, 429,688,412.70 and 92,376,688.60

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Solution

The fourth proportional to 286,458,941.80, 429,688,412.70 and 92,376,688.60 is: 138,565,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,458,941.80 : 429,688,412.70 = 92,376,688.60 : x
  2. Step 2: Convert to fraction form
    286,458,941.80/429,688,412.70 = 92,376,688.60/x
  3. Step 3: Cross multiply
    286,458,941.80x = 429,688,412.70 × 92,376,688.60
  4. Step 4: Simplify right side
    286,458,941.80x = 39,693,192,695,016,184
  5. Step 5: Solve for x
    x = 39,693,192,695,016,184/286,458,941.80
  6. Step 6: Final answer
    x = 138,565,032.90

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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.