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Finding the Fourth Proportional to 478,440, 660,247.20 and 277,352.64

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Solution

The fourth proportional to 478,440, 660,247.20 and 277,352.64 is: 382,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,440 : 660,247.20 = 277,352.64 : x
  2. Step 2: Convert to fraction form
    478,440/660,247.20 = 277,352.64/x
  3. Step 3: Cross multiply
    478,440x = 660,247.20 × 277,352.64
  4. Step 4: Simplify right side
    478,440x = 183,121,303,972.61
  5. Step 5: Solve for x
    x = 183,121,303,972.61/478,440
  6. Step 6: Final answer
    x = 382,746.64

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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.