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Finding the Fourth Proportional to 520,012,548, 717,617,419.92 and 288,225,540

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Solution

The fourth proportional to 520,012,548, 717,617,419.92 and 288,225,540 is: 397,751,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,012,548 : 717,617,419.92 = 288,225,540 : x
  2. Step 2: Convert to fraction form
    520,012,548/717,617,419.92 = 288,225,540/x
  3. Step 3: Cross multiply
    520,012,548x = 717,617,419.92 × 288,225,540
  4. Step 4: Simplify right side
    520,012,548x = 206,835,668,369,848,736
  5. Step 5: Solve for x
    x = 206,835,668,369,848,736/520,012,548
  6. Step 6: Final answer
    x = 397,751,302.67

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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.