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Finding the Fourth Proportional to 315,152.16, 472,866.84 and 165,357.12

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Solution

The fourth proportional to 315,152.16, 472,866.84 and 165,357.12 is: 248,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,152.16 : 472,866.84 = 165,357.12 : x
  2. Step 2: Convert to fraction form
    315,152.16/472,866.84 = 165,357.12/x
  3. Step 3: Cross multiply
    315,152.16x = 472,866.84 × 165,357.12
  4. Step 4: Simplify right side
    315,152.16x = 78,191,898,805.90
  5. Step 5: Solve for x
    x = 78,191,898,805.90/315,152.16
  6. Step 6: Final answer
    x = 248,108.40

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1.5x scale

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.