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Finding the Fourth Proportional to 371,804.09, 513,088.70 and 202,038.21

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Solution

The fourth proportional to 371,804.09, 513,088.70 and 202,038.21 is: 278,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,804.09 : 513,088.70 = 202,038.21 : x
  2. Step 2: Convert to fraction form
    371,804.09/513,088.70 = 202,038.21/x
  3. Step 3: Cross multiply
    371,804.09x = 513,088.70 × 202,038.21
  4. Step 4: Simplify right side
    371,804.09x = 103,663,521,509.04
  5. Step 5: Solve for x
    x = 103,663,521,509.04/371,804.09
  6. Step 6: Final answer
    x = 278,812.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.