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Finding the Fourth Proportional to 710,420.60, 1,065,630.90 and 429,793.40

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Solution

The fourth proportional to 710,420.60, 1,065,630.90 and 429,793.40 is: 644,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,420.60 : 1,065,630.90 = 429,793.40 : x
  2. Step 2: Convert to fraction form
    710,420.60/1,065,630.90 = 429,793.40/x
  3. Step 3: Cross multiply
    710,420.60x = 1,065,630.90 × 429,793.40
  4. Step 4: Simplify right side
    710,420.60x = 458,001,127,656.06
  5. Step 5: Solve for x
    x = 458,001,127,656.06/710,420.60
  6. Step 6: Final answer
    x = 644,690.10

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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.