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Finding the Fourth Proportional to 545,915.40, 816,929.10 and 346,331.40

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Solution

The fourth proportional to 545,915.40, 816,929.10 and 346,331.40 is: 518,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,915.40 : 816,929.10 = 346,331.40 : x
  2. Step 2: Convert to fraction form
    545,915.40/816,929.10 = 346,331.40/x
  3. Step 3: Cross multiply
    545,915.40x = 816,929.10 × 346,331.40
  4. Step 4: Simplify right side
    545,915.40x = 282,928,198,903.74
  5. Step 5: Solve for x
    x = 282,928,198,903.74/545,915.40
  6. Step 6: Final answer
    x = 518,263.82

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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.