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Finding the Fourth Proportional to 782,169, 1,079,406.18 and 424,473

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Solution

The fourth proportional to 782,169, 1,079,406.18 and 424,473 is: 585,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,169 : 1,079,406.18 = 424,473 : x
  2. Step 2: Convert to fraction form
    782,169/1,079,406.18 = 424,473/x
  3. Step 3: Cross multiply
    782,169x = 1,079,406.18 × 424,473
  4. Step 4: Simplify right side
    782,169x = 458,178,779,443.14
  5. Step 5: Solve for x
    x = 458,178,779,443.14/782,169
  6. Step 6: Final answer
    x = 585,779.77

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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.