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Finding the Fourth Proportional to 542,298,143.80, 748,371,920.68 and 294,779,498.05

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Solution

The fourth proportional to 542,298,143.80, 748,371,920.68 and 294,779,498.05 is: 406,795,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,298,143.80 : 748,371,920.68 = 294,779,498.05 : x
  2. Step 2: Convert to fraction form
    542,298,143.80/748,371,920.68 = 294,779,498.05/x
  3. Step 3: Cross multiply
    542,298,143.80x = 748,371,920.68 × 294,779,498.05
  4. Step 4: Simplify right side
    542,298,143.80x = 220,604,699,132,764,800
  5. Step 5: Solve for x
    x = 220,604,699,132,764,800/542,298,143.80
  6. Step 6: Final answer
    x = 406,795,969.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.