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Finding the Fourth Proportional to 415,913.40, 623,870.10 and 384,420.60

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Solution

The fourth proportional to 415,913.40, 623,870.10 and 384,420.60 is: 576,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,913.40 : 623,870.10 = 384,420.60 : x
  2. Step 2: Convert to fraction form
    415,913.40/623,870.10 = 384,420.60/x
  3. Step 3: Cross multiply
    415,913.40x = 623,870.10 × 384,420.60
  4. Step 4: Simplify right side
    415,913.40x = 239,828,518,164.06
  5. Step 5: Solve for x
    x = 239,828,518,164.06/415,913.40
  6. Step 6: Final answer
    x = 576,630.90

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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.