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Finding the Fourth Proportional to 301,806,947.40, 452,710,421.10 and 258,760,226.40

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Solution

The fourth proportional to 301,806,947.40, 452,710,421.10 and 258,760,226.40 is: 388,140,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,947.40 : 452,710,421.10 = 258,760,226.40 : x
  2. Step 2: Convert to fraction form
    301,806,947.40/452,710,421.10 = 258,760,226.40/x
  3. Step 3: Cross multiply
    301,806,947.40x = 452,710,421.10 × 258,760,226.40
  4. Step 4: Simplify right side
    301,806,947.40x = 117,143,451,057,475,344
  5. Step 5: Solve for x
    x = 117,143,451,057,475,344/301,806,947.40
  6. Step 6: Final answer
    x = 388,140,339.60

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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.