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Finding the Fourth Proportional to 832,428, 1,148,751.67 and 450,454.78

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Solution

The fourth proportional to 832,428, 1,148,751.67 and 450,454.78 is: 621,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,428 : 1,148,751.67 = 450,454.78 : x
  2. Step 2: Convert to fraction form
    832,428/1,148,751.67 = 450,454.78/x
  3. Step 3: Cross multiply
    832,428x = 1,148,751.67 × 450,454.78
  4. Step 4: Simplify right side
    832,428x = 517,460,680,784.48
  5. Step 5: Solve for x
    x = 517,460,680,784.48/832,428
  6. Step 6: Final answer
    x = 621,628.15

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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.