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Finding the Fourth Proportional to 495,718.40, 742,758.40 and 421,990.40

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Solution

The fourth proportional to 495,718.40, 742,758.40 and 421,990.40 is: 632,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,718.40 : 742,758.40 = 421,990.40 : x
  2. Step 2: Convert to fraction form
    495,718.40/742,758.40 = 421,990.40/x
  3. Step 3: Cross multiply
    495,718.40x = 742,758.40 × 421,990.40
  4. Step 4: Simplify right side
    495,718.40x = 313,436,914,319.36
  5. Step 5: Solve for x
    x = 313,436,914,319.36/495,718.40
  6. Step 6: Final answer
    x = 632,288.24

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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.