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Finding the Fourth Proportional to 510,420.86, 704,421.47 and 295,564.72

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Solution

The fourth proportional to 510,420.86, 704,421.47 and 295,564.72 is: 407,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,420.86 : 704,421.47 = 295,564.72 : x
  2. Step 2: Convert to fraction form
    510,420.86/704,421.47 = 295,564.72/x
  3. Step 3: Cross multiply
    510,420.86x = 704,421.47 × 295,564.72
  4. Step 4: Simplify right side
    510,420.86x = 208,202,129,542.61
  5. Step 5: Solve for x
    x = 208,202,129,542.61/510,420.86
  6. Step 6: Final answer
    x = 407,902.86

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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.