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Finding the Fourth Proportional to 660,929.82, 991,416.12 and 314,638.08

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Solution

The fourth proportional to 660,929.82, 991,416.12 and 314,638.08 is: 471,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,929.82 : 991,416.12 = 314,638.08 : x
  2. Step 2: Convert to fraction form
    660,929.82/991,416.12 = 314,638.08/x
  3. Step 3: Cross multiply
    660,929.82x = 991,416.12 × 314,638.08
  4. Step 4: Simplify right side
    660,929.82x = 311,937,264,477.85
  5. Step 5: Solve for x
    x = 311,937,264,477.85/660,929.82
  6. Step 6: Final answer
    x = 471,967.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.