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Finding the Fourth Proportional to 696,978.12, 962,123.40 and 470,929.80

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Solution

The fourth proportional to 696,978.12, 962,123.40 and 470,929.80 is: 650,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,978.12 : 962,123.40 = 470,929.80 : x
  2. Step 2: Convert to fraction form
    696,978.12/962,123.40 = 470,929.80/x
  3. Step 3: Cross multiply
    696,978.12x = 962,123.40 × 470,929.80
  4. Step 4: Simplify right side
    696,978.12x = 453,092,580,337.32
  5. Step 5: Solve for x
    x = 453,092,580,337.32/696,978.12
  6. Step 6: Final answer
    x = 650,081.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.