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Finding the Fourth Proportional to 473,075.80, 709,613.70 and 305,114.20

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Solution

The fourth proportional to 473,075.80, 709,613.70 and 305,114.20 is: 457,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,075.80 : 709,613.70 = 305,114.20 : x
  2. Step 2: Convert to fraction form
    473,075.80/709,613.70 = 305,114.20/x
  3. Step 3: Cross multiply
    473,075.80x = 709,613.70 × 305,114.20
  4. Step 4: Simplify right side
    473,075.80x = 216,513,216,384.54
  5. Step 5: Solve for x
    x = 216,513,216,384.54/473,075.80
  6. Step 6: Final answer
    x = 457,671.30

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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.