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Finding the Fourth Proportional to 265,718.84, 398,510.21 and 78,686.60

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Solution

The fourth proportional to 265,718.84, 398,510.21 and 78,686.60 is: 118,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,718.84 : 398,510.21 = 78,686.60 : x
  2. Step 2: Convert to fraction form
    265,718.84/398,510.21 = 78,686.60/x
  3. Step 3: Cross multiply
    265,718.84x = 398,510.21 × 78,686.60
  4. Step 4: Simplify right side
    265,718.84x = 31,357,411,694.35
  5. Step 5: Solve for x
    x = 31,357,411,694.35/265,718.84
  6. Step 6: Final answer
    x = 118,009.74

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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.