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Finding the Fourth Proportional to 657,146.76, 985,342.64 and 257,319.40

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Solution

The fourth proportional to 657,146.76, 985,342.64 and 257,319.40 is: 385,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,146.76 : 985,342.64 = 257,319.40 : x
  2. Step 2: Convert to fraction form
    657,146.76/985,342.64 = 257,319.40/x
  3. Step 3: Cross multiply
    657,146.76x = 985,342.64 × 257,319.40
  4. Step 4: Simplify right side
    657,146.76x = 253,547,776,919.22
  5. Step 5: Solve for x
    x = 253,547,776,919.22/657,146.76
  6. Step 6: Final answer
    x = 385,831.28

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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.