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Finding the Fourth Proportional to 608,428.80, 912,643.20 and 409,363.20

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Solution

The fourth proportional to 608,428.80, 912,643.20 and 409,363.20 is: 614,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,428.80 : 912,643.20 = 409,363.20 : x
  2. Step 2: Convert to fraction form
    608,428.80/912,643.20 = 409,363.20/x
  3. Step 3: Cross multiply
    608,428.80x = 912,643.20 × 409,363.20
  4. Step 4: Simplify right side
    608,428.80x = 373,602,540,810.24
  5. Step 5: Solve for x
    x = 373,602,540,810.24/608,428.80
  6. Step 6: Final answer
    x = 614,044.80

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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.