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Finding the Fourth Proportional to 510,800.10, 704,904.13 and 296,064.72

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Solution

The fourth proportional to 510,800.10, 704,904.13 and 296,064.72 is: 408,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,800.10 : 704,904.13 = 296,064.72 : x
  2. Step 2: Convert to fraction form
    510,800.10/704,904.13 = 296,064.72/x
  3. Step 3: Cross multiply
    510,800.10x = 704,904.13 × 296,064.72
  4. Step 4: Simplify right side
    510,800.10x = 208,697,243,875.29
  5. Step 5: Solve for x
    x = 208,697,243,875.29/510,800.10
  6. Step 6: Final answer
    x = 408,569.31

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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.