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Finding the Fourth Proportional to 947,639, 1,421,704.74 and 282,791

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Solution

The fourth proportional to 947,639, 1,421,704.74 and 282,791 is: 424,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,639 : 1,421,704.74 = 282,791 : x
  2. Step 2: Convert to fraction form
    947,639/1,421,704.74 = 282,791/x
  3. Step 3: Cross multiply
    947,639x = 1,421,704.74 × 282,791
  4. Step 4: Simplify right side
    947,639x = 402,045,305,129.34
  5. Step 5: Solve for x
    x = 402,045,305,129.34/947,639
  6. Step 6: Final answer
    x = 424,259.98

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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.