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Finding the Fourth Proportional to 510,075.93, 765,018.75 and 206,390.50

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Solution

The fourth proportional to 510,075.93, 765,018.75 and 206,390.50 is: 309,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,075.93 : 765,018.75 = 206,390.50 : x
  2. Step 2: Convert to fraction form
    510,075.93/765,018.75 = 206,390.50/x
  3. Step 3: Cross multiply
    510,075.93x = 765,018.75 × 206,390.50
  4. Step 4: Simplify right side
    510,075.93x = 157,892,602,321.88
  5. Step 5: Solve for x
    x = 157,892,602,321.88/510,075.93
  6. Step 6: Final answer
    x = 309,547.25

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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.