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Finding the Fourth Proportional to 434,560.10, 651,840.15 and 314,809.70

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Solution

The fourth proportional to 434,560.10, 651,840.15 and 314,809.70 is: 472,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,560.10 : 651,840.15 = 314,809.70 : x
  2. Step 2: Convert to fraction form
    434,560.10/651,840.15 = 314,809.70/x
  3. Step 3: Cross multiply
    434,560.10x = 651,840.15 × 314,809.70
  4. Step 4: Simplify right side
    434,560.10x = 205,205,602,069.46
  5. Step 5: Solve for x
    x = 205,205,602,069.46/434,560.10
  6. Step 6: Final answer
    x = 472,214.55

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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.