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Finding the Fourth Proportional to 290,970.31, 401,407.16 and 210,270.01

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Solution

The fourth proportional to 290,970.31, 401,407.16 and 210,270.01 is: 290,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,970.31 : 401,407.16 = 210,270.01 : x
  2. Step 2: Convert to fraction form
    290,970.31/401,407.16 = 210,270.01/x
  3. Step 3: Cross multiply
    290,970.31x = 401,407.16 × 210,270.01
  4. Step 4: Simplify right side
    290,970.31x = 84,403,887,547.27
  5. Step 5: Solve for x
    x = 84,403,887,547.27/290,970.31
  6. Step 6: Final answer
    x = 290,077.32

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1.5x scale

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.