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Finding the Fourth Proportional to 630,915.40, 946,373.10 and 406,966.60

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Solution

The fourth proportional to 630,915.40, 946,373.10 and 406,966.60 is: 610,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,915.40 : 946,373.10 = 406,966.60 : x
  2. Step 2: Convert to fraction form
    630,915.40/946,373.10 = 406,966.60/x
  3. Step 3: Cross multiply
    630,915.40x = 946,373.10 × 406,966.60
  4. Step 4: Simplify right side
    630,915.40x = 385,142,242,838.46
  5. Step 5: Solve for x
    x = 385,142,242,838.46/630,915.40
  6. Step 6: Final answer
    x = 610,449.90

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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.