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Finding the Fourth Proportional to 515,754.80, 711,730.35 and 286,298.67

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Solution

The fourth proportional to 515,754.80, 711,730.35 and 286,298.67 is: 395,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,754.80 : 711,730.35 = 286,298.67 : x
  2. Step 2: Convert to fraction form
    515,754.80/711,730.35 = 286,298.67/x
  3. Step 3: Cross multiply
    515,754.80x = 711,730.35 × 286,298.67
  4. Step 4: Simplify right side
    515,754.80x = 203,767,452,603.64
  5. Step 5: Solve for x
    x = 203,767,452,603.64/515,754.80
  6. Step 6: Final answer
    x = 395,085.91

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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.