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Finding the Fourth Proportional to 698,461.48, 963,880.16 and 408,089.54

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Solution

The fourth proportional to 698,461.48, 963,880.16 and 408,089.54 is: 563,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,461.48 : 963,880.16 = 408,089.54 : x
  2. Step 2: Convert to fraction form
    698,461.48/963,880.16 = 408,089.54/x
  3. Step 3: Cross multiply
    698,461.48x = 963,880.16 × 408,089.54
  4. Step 4: Simplify right side
    698,461.48x = 393,349,411,478.78
  5. Step 5: Solve for x
    x = 393,349,411,478.78/698,461.48
  6. Step 6: Final answer
    x = 563,165.50

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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.