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Finding the Fourth Proportional to 661,058.92, 912,271.14 and 359,253.16

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Solution

The fourth proportional to 661,058.92, 912,271.14 and 359,253.16 is: 495,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,058.92 : 912,271.14 = 359,253.16 : x
  2. Step 2: Convert to fraction form
    661,058.92/912,271.14 = 359,253.16/x
  3. Step 3: Cross multiply
    661,058.92x = 912,271.14 × 359,253.16
  4. Step 4: Simplify right side
    661,058.92x = 327,736,289,821.80
  5. Step 5: Solve for x
    x = 327,736,289,821.80/661,058.92
  6. Step 6: Final answer
    x = 495,774.70

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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.