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Finding the Fourth Proportional to 569,014.95, 785,231.47 and 310,886.35

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Solution

The fourth proportional to 569,014.95, 785,231.47 and 310,886.35 is: 429,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,014.95 : 785,231.47 = 310,886.35 : x
  2. Step 2: Convert to fraction form
    569,014.95/785,231.47 = 310,886.35/x
  3. Step 3: Cross multiply
    569,014.95x = 785,231.47 × 310,886.35
  4. Step 4: Simplify right side
    569,014.95x = 244,117,746,707.16
  5. Step 5: Solve for x
    x = 244,117,746,707.16/569,014.95
  6. Step 6: Final answer
    x = 429,018.16

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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.