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Finding the Fourth Proportional to 421,411.76, 581,569.84 and 230,423.12

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Solution

The fourth proportional to 421,411.76, 581,569.84 and 230,423.12 is: 317,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,411.76 : 581,569.84 = 230,423.12 : x
  2. Step 2: Convert to fraction form
    421,411.76/581,569.84 = 230,423.12/x
  3. Step 3: Cross multiply
    421,411.76x = 581,569.84 × 230,423.12
  4. Step 4: Simplify right side
    421,411.76x = 134,007,137,030.70
  5. Step 5: Solve for x
    x = 134,007,137,030.70/421,411.76
  6. Step 6: Final answer
    x = 317,995.72

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1.5x scale

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.