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Finding the Fourth Proportional to 470,877.90, 705,280.05 and 418,346.70

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Solution

The fourth proportional to 470,877.90, 705,280.05 and 418,346.70 is: 626,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,877.90 : 705,280.05 = 418,346.70 : x
  2. Step 2: Convert to fraction form
    470,877.90/705,280.05 = 418,346.70/x
  3. Step 3: Cross multiply
    470,877.90x = 705,280.05 × 418,346.70
  4. Step 4: Simplify right side
    470,877.90x = 295,051,581,493.34
  5. Step 5: Solve for x
    x = 295,051,581,493.34/470,877.90
  6. Step 6: Final answer
    x = 626,598.92

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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.