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Finding the Fourth Proportional to 653,465.32, 901,676.34 and 408,421.19

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Solution

The fourth proportional to 653,465.32, 901,676.34 and 408,421.19 is: 563,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,465.32 : 901,676.34 = 408,421.19 : x
  2. Step 2: Convert to fraction form
    653,465.32/901,676.34 = 408,421.19/x
  3. Step 3: Cross multiply
    653,465.32x = 901,676.34 × 408,421.19
  4. Step 4: Simplify right side
    653,465.32x = 368,263,726,031.84
  5. Step 5: Solve for x
    x = 368,263,726,031.84/653,465.32
  6. Step 6: Final answer
    x = 563,555.12

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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.