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Finding the Fourth Proportional to 257,851.40, 386,258.70 and 146,913.80

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Solution

The fourth proportional to 257,851.40, 386,258.70 and 146,913.80 is: 220,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,851.40 : 386,258.70 = 146,913.80 : x
  2. Step 2: Convert to fraction form
    257,851.40/386,258.70 = 146,913.80/x
  3. Step 3: Cross multiply
    257,851.40x = 386,258.70 × 146,913.80
  4. Step 4: Simplify right side
    257,851.40x = 56,746,733,400.06
  5. Step 5: Solve for x
    x = 56,746,733,400.06/257,851.40
  6. Step 6: Final answer
    x = 220,075.34

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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.