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Finding the Fourth Proportional to 947,641, 1,421,707.74 and 282,793

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Solution

The fourth proportional to 947,641, 1,421,707.74 and 282,793 is: 424,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,641 : 1,421,707.74 = 282,793 : x
  2. Step 2: Convert to fraction form
    947,641/1,421,707.74 = 282,793/x
  3. Step 3: Cross multiply
    947,641x = 1,421,707.74 × 282,793
  4. Step 4: Simplify right side
    947,641x = 402,048,996,917.82
  5. Step 5: Solve for x
    x = 402,048,996,917.82/947,641
  6. Step 6: Final answer
    x = 424,262.98

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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.