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Finding the Fourth Proportional to 315,802.74, 473,720.51 and 157,977.89

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Solution

The fourth proportional to 315,802.74, 473,720.51 and 157,977.89 is: 236,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,802.74 : 473,720.51 = 157,977.89 : x
  2. Step 2: Convert to fraction form
    315,802.74/473,720.51 = 157,977.89/x
  3. Step 3: Cross multiply
    315,802.74x = 473,720.51 × 157,977.89
  4. Step 4: Simplify right side
    315,802.74x = 74,837,364,645.87
  5. Step 5: Solve for x
    x = 74,837,364,645.87/315,802.74
  6. Step 6: Final answer
    x = 236,975.03

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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.