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Finding the Fourth Proportional to 614,341.28, 847,755.60 and 342,400.16

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Solution

The fourth proportional to 614,341.28, 847,755.60 and 342,400.16 is: 472,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,341.28 : 847,755.60 = 342,400.16 : x
  2. Step 2: Convert to fraction form
    614,341.28/847,755.60 = 342,400.16/x
  3. Step 3: Cross multiply
    614,341.28x = 847,755.60 × 342,400.16
  4. Step 4: Simplify right side
    614,341.28x = 290,271,653,080.90
  5. Step 5: Solve for x
    x = 290,271,653,080.90/614,341.28
  6. Step 6: Final answer
    x = 472,492.51

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1.5x scale

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.