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Finding the Fourth Proportional to 315,345.40, 473,075.70 and 128,375.80

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Solution

The fourth proportional to 315,345.40, 473,075.70 and 128,375.80 is: 192,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,345.40 : 473,075.70 = 128,375.80 : x
  2. Step 2: Convert to fraction form
    315,345.40/473,075.70 = 128,375.80/x
  3. Step 3: Cross multiply
    315,345.40x = 473,075.70 × 128,375.80
  4. Step 4: Simplify right side
    315,345.40x = 60,731,471,448.06
  5. Step 5: Solve for x
    x = 60,731,471,448.06/315,345.40
  6. Step 6: Final answer
    x = 192,587.15

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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.