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Finding the Fourth Proportional to 315,567.69, 473,355.71 and 105,205.69

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Solution

The fourth proportional to 315,567.69, 473,355.71 and 105,205.69 is: 157,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,567.69 : 473,355.71 = 105,205.69 : x
  2. Step 2: Convert to fraction form
    315,567.69/473,355.71 = 105,205.69/x
  3. Step 3: Cross multiply
    315,567.69x = 473,355.71 × 105,205.69
  4. Step 4: Simplify right side
    315,567.69x = 49,799,714,085.99
  5. Step 5: Solve for x
    x = 49,799,714,085.99/315,567.69
  6. Step 6: Final answer
    x = 157,809.93

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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.