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Finding the Fourth Proportional to 510,421.86, 704,422.85 and 295,565.72

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Solution

The fourth proportional to 510,421.86, 704,422.85 and 295,565.72 is: 407,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,421.86 : 704,422.85 = 295,565.72 : x
  2. Step 2: Convert to fraction form
    510,421.86/704,422.85 = 295,565.72/x
  3. Step 3: Cross multiply
    510,421.86x = 704,422.85 × 295,565.72
  4. Step 4: Simplify right side
    510,421.86x = 208,203,241,844.76
  5. Step 5: Solve for x
    x = 208,203,241,844.76/510,421.86
  6. Step 6: Final answer
    x = 407,904.24

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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.