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Finding the Fourth Proportional to 390,312.86, 538,434.41 and 261,256.77

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Solution

The fourth proportional to 390,312.86, 538,434.41 and 261,256.77 is: 360,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,312.86 : 538,434.41 = 261,256.77 : x
  2. Step 2: Convert to fraction form
    390,312.86/538,434.41 = 261,256.77/x
  3. Step 3: Cross multiply
    390,312.86x = 538,434.41 × 261,256.77
  4. Step 4: Simplify right side
    390,312.86x = 140,669,633,507.17
  5. Step 5: Solve for x
    x = 140,669,633,507.17/390,312.86
  6. Step 6: Final answer
    x = 360,402.26

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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.