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Finding the Fourth Proportional to 510,420.61, 704,421.12 and 295,564.47

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Solution

The fourth proportional to 510,420.61, 704,421.12 and 295,564.47 is: 407,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,420.61 : 704,421.12 = 295,564.47 : x
  2. Step 2: Convert to fraction form
    510,420.61/704,421.12 = 295,564.47/x
  3. Step 3: Cross multiply
    510,420.61x = 704,421.12 × 295,564.47
  4. Step 4: Simplify right side
    510,420.61x = 208,201,854,989.61
  5. Step 5: Solve for x
    x = 208,201,854,989.61/510,420.61
  6. Step 6: Final answer
    x = 407,902.52

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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.