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Finding the Fourth Proportional to 315,283.40, 472,925.10 and 197,088.20

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Solution

The fourth proportional to 315,283.40, 472,925.10 and 197,088.20 is: 295,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,283.40 : 472,925.10 = 197,088.20 : x
  2. Step 2: Convert to fraction form
    315,283.40/472,925.10 = 197,088.20/x
  3. Step 3: Cross multiply
    315,283.40x = 472,925.10 × 197,088.20
  4. Step 4: Simplify right side
    315,283.40x = 93,207,956,693.82
  5. Step 5: Solve for x
    x = 93,207,956,693.82/315,283.40
  6. Step 6: Final answer
    x = 295,632.30

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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.