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Finding the Fourth Proportional to 546,430.10, 821,200.35 and 478,001.30

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Solution

The fourth proportional to 546,430.10, 821,200.35 and 478,001.30 is: 718,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,430.10 : 821,200.35 = 478,001.30 : x
  2. Step 2: Convert to fraction form
    546,430.10/821,200.35 = 478,001.30/x
  3. Step 3: Cross multiply
    546,430.10x = 821,200.35 × 478,001.30
  4. Step 4: Simplify right side
    546,430.10x = 392,534,834,860.46
  5. Step 5: Solve for x
    x = 392,534,834,860.46/546,430.10
  6. Step 6: Final answer
    x = 718,362.39

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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.