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Finding the Fourth Proportional to 353,117.30, 528,898.35 and 313,718.90

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Solution

The fourth proportional to 353,117.30, 528,898.35 and 313,718.90 is: 469,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,117.30 : 528,898.35 = 313,718.90 : x
  2. Step 2: Convert to fraction form
    353,117.30/528,898.35 = 313,718.90/x
  3. Step 3: Cross multiply
    353,117.30x = 528,898.35 × 313,718.90
  4. Step 4: Simplify right side
    353,117.30x = 165,925,408,573.82
  5. Step 5: Solve for x
    x = 165,925,408,573.82/353,117.30
  6. Step 6: Final answer
    x = 469,887.51

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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.