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Finding the Fourth Proportional to 406,875.05, 610,312.56 and 136,980.62

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Solution

The fourth proportional to 406,875.05, 610,312.56 and 136,980.62 is: 205,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,875.05 : 610,312.56 = 136,980.62 : x
  2. Step 2: Convert to fraction form
    406,875.05/610,312.56 = 136,980.62/x
  3. Step 3: Cross multiply
    406,875.05x = 610,312.56 × 136,980.62
  4. Step 4: Simplify right side
    406,875.05x = 83,600,991,586.02
  5. Step 5: Solve for x
    x = 83,600,991,586.02/406,875.05
  6. Step 6: Final answer
    x = 205,470.92

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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.