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Finding the Fourth Proportional to 649,167.60, 972,001.80 and 470,708.40

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Solution

The fourth proportional to 649,167.60, 972,001.80 and 470,708.40 is: 704,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,167.60 : 972,001.80 = 470,708.40 : x
  2. Step 2: Convert to fraction form
    649,167.60/972,001.80 = 470,708.40/x
  3. Step 3: Cross multiply
    649,167.60x = 972,001.80 × 470,708.40
  4. Step 4: Simplify right side
    649,167.60x = 457,529,412,075.12
  5. Step 5: Solve for x
    x = 457,529,412,075.12/649,167.60
  6. Step 6: Final answer
    x = 704,793.97

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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.