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Finding the Fourth Proportional to 477,756.36, 716,931 and 278,165.88

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Solution

The fourth proportional to 477,756.36, 716,931 and 278,165.88 is: 417,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,756.36 : 716,931 = 278,165.88 : x
  2. Step 2: Convert to fraction form
    477,756.36/716,931 = 278,165.88/x
  3. Step 3: Cross multiply
    477,756.36x = 716,931 × 278,165.88
  4. Step 4: Simplify right side
    477,756.36x = 199,425,742,514.28
  5. Step 5: Solve for x
    x = 199,425,742,514.28/477,756.36
  6. Step 6: Final answer
    x = 417,421.43

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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.